# American Institute of Mathematical Sciences

November  2012, 6(4): 697-708. doi: 10.3934/ipi.2012.6.697

## A TV Bregman iterative model of Retinex theory

 1 Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, United States, United States

Received  April 2010 Revised  October 2012 Published  November 2012

A feature of the human visual system (HVS) is color constancy, namely, the ability to determine the color under varying illumination conditions. Retinex theory, formulated by Edwin H. Land, aimed to simulate and explain how the HVS perceives color. In this paper, we establish a total variation (TV) and nonlocal TV regularized model of Retinex theory that can be solved by a fast computational approach based on Bregman iteration. We demonstrate the performance of our method by numerical results.
Citation: Wenye Ma, Stanley Osher. A TV Bregman iterative model of Retinex theory. Inverse Problems & Imaging, 2012, 6 (4) : 697-708. doi: 10.3934/ipi.2012.6.697
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##### References:
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